Thanks for the link. It sounds like the captain had a protocol-based response to her calling out the Mayday. She may not have been authorized to make the call, but his reaction seems to be reflexive more than anything else.
My gut tells me (and I may be completely wrong) that the man froze to the point of inaction and was more worried about his career going by-by than the seriousness of the situation. He really didn't have the time to dress down the young lady with his rig engulfed in flames.
I think he was a man in pure panic mode lashing out and not thinking clearly.